Quantum correlations in a family of bipartite separable qubit-qutrit quantum-classical correlated states are investigated by using two popular measures, i.e., the original quantum discord (OQD) method by Ollivier and Zurek [Phys. Rev. Lett. 88 (2001) 017901] and the measurement-induced disturbance (MID) method by Luo [Phys. Rev. A 77 (2008) 022301]. It is found that both of them are functions of a parameter partially characterizing the concerned states, however, quantum correlations evaluated via the convenient MID method are somewhat overestimated. [ABSTRACT FROM AUTHOR]